Please show a step-by-step solution. Do not skip steps, and explain your steps. Write it on paper, preferably. Make sure the work is clear. 1. Prove that:xº(a) lim -70 xi +3x²6x²³x²2127>0 [x² + x²]²(b) lim-does not exist.(c) lim= 0.(₁1)²(x₂ - 2)²7+(1,2) [(x₁ − 1)² + (x₂ − 2)²] ³0

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1. Prove that: (a) lim 70 xi +3x² does not exist.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Please show a step-by-step solution. Do not skip steps, and explain your steps. Write it on paper, preferably. Make sure the work is clear.

1. Prove that:
xº
(a) lim -
70 xi +3x²
6
x²³x²
212
7>0 [x² + x²]²
(b) lim-
does not exist.
(c) lim
= 0.
(₁1)²(x₂ - 2)²
7+(1,2) [(x₁ − 1)² + (x₂ − 2)²] ³
0

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